Question

Use substitution to solve the following system of equations. What is the value of y?

Answer 1

It is given that,

→ 2x - y = 2

Convert the equation as,

→ y = 2x - 2

First we should,

find the required value of x.

→ 3x + 4(2x - 2) = 36

→ 3x + 8x - 8 = 36

→ 11x = 44

→ [x = 4]

Let's find the required value of y,

→ y = 2x - 2

→ y = (2 × 4) - 2

→ y = 8 - 2

→ [y = 6]

Therefore, the value of y is 6.

Answer 2

• y = 6

Explanation:

Use the second equation:

• 2x - y = 2 ⇒ y = 2x - 2

Substitute this into first equation:

• 3x + 4(2x - 2) = 36
• 3x + 8x - 8 = 36
• 11x = 44
• x = 4

Now find y:

• y = 2*4 - 2
• y = 8 - 2
• y = 6